Peak costs stifle new and primarily stingy person likely to succeed (5,8)

I believe the answer is:

crown princess

I'm a little stuck... Click here to teach me more about this clue!

But I can't explain it at all! Could you help me understand?

(Other definitions for crown princess that I've seen before include "royal family member?" , "Woman expected to succeed" .)

I've seen this clue in The Hindu.

Want a hint initially instead of a full solution? Install my app